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GCF of 268/29, 300/2931

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 268/29, 300/2931 i.e 4/84999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 268/29, 300/2931.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 268/29,300/2931?

Given fractions are 268/29,300/2931

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 268/29,300/2931, numerators are 268,300

Denominators are 29,2931

The GCF of 268,300 is 4 .

LCM of 29,2931 is 84999.

The greatest common factor of 268/29,300/2931 = [GCF of 268,300]/[LCM of 29,2931]= 4/84999

Therefore, the GCF of 268/29,300/2931 is 4/84999.

Greatest Common Factor of 268,300

To find the highest common factor of 268,300, we have to find the factors of both numbers and list the highest common factor.

The factors of 268 are 1, 2, 4, 67, 134, 268

The factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

The HCF of 268,300 is 4.

Lets's calculate GCF of 268,300

Greatest Common Factor (GCF) of 268,300 By Common Division

2 268, 300
2 134, 150
67, 75

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 268,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,300 By Matching Biggest Common Factor Method

Now, list down the factors of 268

:

1,2,4,67,134,268

Now, list down the factors of 300

:

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 268,300 . The biggest common factor number is the GCF number.
So the greatest common factor 268,300 is 4.

Lets's calculate LCM of 29,2931

Lowest Common Multiple of 29,2931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 84999

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/84999

Therefore, the GCF of Fractions 268/29,300/2931 is 4/84999

Least Common Multiple of 29,2931 with GCF Formula

Least Common Multiple of 29,2931 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 29,2931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,2931) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,2931) x common factors =1 x 1 = 1

LCM(29,2931) = ( 29 × 2931 ) / 1

LCM(29,2931) = 84999 / 1

LCM(29,2931) = 84999


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FAQs on GCF of Fractions of 268/29, 300/2931

1. What is the HCF of 268,300?

The HCF of 268,300 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 268/29, 300/2931?

Answer: GCF of Numerators as per given numbers 268/29, 300/2931 is

GCF of Numerators i.e. for 268,300 is 4

LCM of denominators i.e. for 29,2931 is 84999.

Thus, GCF of Fractions is 4/84999.Finally, GCF of Fractions for 268/29, 300/2931 is 4/84999.